What is the Least Common Multiple of 86116 and 86125?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86116 and 86125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86116 and 86125, than apply into the LCM equation.

GCF(86116,86125) = 1
LCM(86116,86125) = ( 86116 × 86125) / 1
LCM(86116,86125) = 7416740500 / 1
LCM(86116,86125) = 7416740500

Least Common Multiple (LCM) of 86116 and 86125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86116 and 86125. First we will calculate the prime factors of 86116 and 86125.

Prime Factorization of 86116

Prime Factorization of 86125

Now multiplying the highest exponent prime factors to calculate the LCM of 86116 and 86125.

LCM(86116,86125) = 2² × 21529¹ × 5³ × 13¹ × 53¹
LCM(86116,86125) = 7416740500